Advanced Concepts in Fuzzy Logic and Systems with Membership Uncertainty
This book generalizes fuzzy logic systems for different types of uncertainty, including- semantic ambiguity resulting from limited perception or lack of knowledge about exact membership functions- lack of attributes or granularity arising from discretizat
- PDF / 9,222,588 Bytes
- 314 Pages / 439.363 x 666.131 pts Page_size
- 29 Downloads / 199 Views
For further volumes: http://www.springer.com/series/2941
284
Janusz T. Starczewski
Advanced Concepts in Fuzzy Logic and Systems with Membership Uncertainty
ABC
Author Dr. Janusz T. Starczewski Czestochowa University of Technology Poland
ISSN 1434-9922 e-ISSN 1860-0808 ISBN 978-3-642-29519-5 e-ISBN 978-3-642-29520-1 DOI 10.1007/978-3-642-29520-1 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012936523 c Springer-Verlag Berlin Heidelberg 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
To my beloved Agnieszka, and to the sweetest little Laura, whose father works where “computers live”.
Preface
It is well known that fuzzy sets can describe gradual properties, such as young or big, using functions for membership to sets. Fuzzy sets of type-2 are equipped with fuzzy membership functions, and hence are called fuzzyvalued fuzzy sets. Whilst fuzzy sets are used to model vagueness, fuzzy-valued fuzzy sets have the capacity to model the imprecision of the actual membership function. Both, vagueness and imprecision are intrinsic aspects of any engineering design. This book summarizes achievements of the author in type-2 fuzzy set theory, reasoning using rough approximations of fuzzy sets, and construction of fuzzy logic sy
Data Loading...
